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Finding the Third Proportional to 460,156 and 942,620

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Solution

The third proportional to 460,156 and 942,620 is: 1,930,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,156 : 942,620 = 942,620 : x
  2. Step 2: Convert to fraction form
    460,156/942,620 = 942,620/x
  3. Step 3: Cross multiply
    460,156x = 942,620 × 942,620
  4. Step 4: Simplify right side
    460,156x = 888,532,464,400
  5. Step 5: Solve for x
    x = 888,532,464,400/460,156
  6. Step 6: Final answer
    x = 1,930,937.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.